过度自信和需求不确定性对多报童模型的影响

研究在竞争条件下过度自信和需求不确定性对库存决策的影响.通过引入一个均值相等且方差缩小的变换来定量刻画决策者的过度自信偏好,得到系统最优订货量关于报童数量和过度自信系数的单调性.进一步,研究需求不确定性对系统的影响,证明随机大的需求导致较高的最优订货量.当需求分布为均匀分布时,对割准则序意义下系统最优订货量进行比较.     

Dynamics of Rabi model under second-order Born Oppenheimer approximation

We apply the second-order Born–Oppenheimer(BO)approximation to investigate the dynamics of the Rabi model,which describes the interaction between a two-level system and a single bosonic mode beyond the rotating wave approximation.By comparing with the numerical results,we find that our approach works well when the frequency of the two-level system is much smaller than that of the bosonic mode.     

Entanglement of Superpositions of Orthogonal Maximally Entangled States

We study the entanglement properties of the superposed state of orthogonal maximally entangled states. It is shown that the superposed state is maximally entangled and the superposed state is separable. The relation between the superposed state and the mutually unbiased state is discussed.     

Single-photon scattering by two separated atoms in a supercavity

We study the single-photon scattering along a one-dimensional cavity array with two distant two-level atoms in a supercavity,which aims to simulate a recent x-ray experiment [Nature 482,199(2012)].Without introducing dissipation,we find that when one atom is exactly located at a node of a mode of the supercavity and the other is at the antinode of that mode,no splitting of the reflectivity peak can appear.Nevertheless,the atom at the node significantly changes the positions of the reflectivity valleys.On the other hand,when the atom is shifted a little from the exact node,then the splitting can appear.We also explain these results with an analysis based on the general formal scattering theory.Our result implies the importance of non-resonant modes of the supercavity in our problem.     

Efficient Numerical Algorithm on Irreducible Multiparty Correlations

We develop a numerical algorithm to calculate the degrees of irreducible multiparty correlations for an arbitrary multipartite quantum state, which is efficient for any quantum state of up to five qubits in my personal computer. We demonstrate the power of the algorithm by the explicit calculations of the degrees of irreducible multiparty correlations in the 4-qubit GHZ state, the Smolin state, and the 5-qubit W state. This development takes a crucial step towards practical applications of irreducible multiparty correlations in real quantum many-body physics.